I support your decision to go to an AA meeting and hold off on telling your family for now. Being in a room with other people who are going through or who have gone through the same thing may help you more than you can imagine.
In my own experience I wish I hadn't "outed" myself to my mother. She lives thousands of kilometres from me in another country, and my alcoholism never visibly touched her life. She had a traumatic experience with an alcoholic brother, and all I did was alarm and upset her. It was not the liberating experience I imagined it would be. Instead, I just felt regret and wished I hadn't done it.